# Translations:Signature deconvolution - book/7/en

Figures 11 though 15 describe a simplified example of vibroseis deconvolution. Figure 11a shows the signature *s*, which is a swept-frequency signal. Figure 11b shows the field trace *x*, which is the convolution of a reflectivity with the signature *s*. Figure 12a shows the corresponding Klauder wavelet, which is the autocorrelation of the signature *s*. This autocorrelation is used to compute the spiking filter *f*. Figure 12b shows the spiking filter *f*. Figure 13a shows the all-pass wavelet *p*, which we obtain by convolving *f* with *s*. Figure 13b shows the minimum-delay counterpart *b* of the signature *s*. The minimum-delay counterpart *b* of the signature *s*, which is the inverse of the filter *f*, is the wavelet remaining on the dephased trace *y* in place of the original signature *s*. Figure 14a shows the dephased trace *y*. Figure 14b shows the signature-free trace . However, reverberating energy still remains on the signature-free trace, so we introduce predictive (spiking) deconvolution. Figure 15a shows the predictive (spiking) deconvolution filter computed from the signature-free trace. Figure 15b shows the trace we obtain after predictive (spiking) deconvolution, and that trace is an estimate of the approximate reflectivity .